A Fast Helmholtz Solver for Scattering by a Sound-soft Target in Sediment

Lecture Notes in Computational Science and Engineering

Volumn 55, Issue , 2007, Pages 595-602

  Huynh, Quyen ^b   Ito, Kazufumi ^a   Toivanen, Jari ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b NAVAL SURFACE WARFARE CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITION METHODS; NUMERICAL METHODS; SEDIMENTS;

ACOUSTIC SCATTERING; COMPUTING TIME; EFFICIENT NUMERICAL METHOD; HELMHOLTZ; LAYERED MEDIA; NUMERICAL APPROXIMATIONS; SOFT TARGETS; VARYING COEFFICIENTS;

ACOUSTIC WAVE SCATTERING;

EID: 49349118085     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-34469-8_74     Document Type: Article

References (12)

1. A. Bamberger, P. Joly, and J. E. Roberts, Second-order absorbing boundary conditions for the wave equation: a solution for the corner problem, SIAM J. Numer. Anal., 27 (1990), pp. 323-352.
2. A. Banegas, Fast Poisson solvers for problems with sparsity, Math. Comp., 32 (1978), pp. 441-446.
3. C. Börgers, A triangulation algorithm for fast elliptic solvers based on domain imbedding, SIAM J. Numer. Anal., 27 (1990), pp. 1187-1196.
4. E. Heikkola, T. Rossi, and J. Toivanen, A domain embedding method for scattering problems with an absorbing boundary or a perfectly matched layer, J. Comput. Acoust., 11 (2003), pp. 159-174.
5. E. Heikkola, T. Rossi, and J. Toivanen, Fast direct solution of the Helmholtz equation with a perfectly matched layer or an absorbing boundary condition, Internat. J. Numer. Methods Engrg., 57 (2003), pp. 2007-2025.
6. E. Heikkola, T. Rossi, and J. Toivanen, A parallel fictitious domain method for the three-dimensional Helmholtz equation, SIAM J. Sci. Comput., 24 (2003), pp. 1567-1588.
7. K. Ito and J. Toivanen, Preconditioned iterative methods on sparse subspaces, Appl. Math. Letters, 19 (2006), pp. 1191-1197.
8. Y. A. Kuznetsov, Matrix iterative methods in subspaces, in Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), Warsaw, 1984, PWN, pp. 1509-1521.
9. Y. A. Kuznetsov and K. N. Lipnikov, 3D Helmholtz wave equation by fictitious domain method, Russian J. Numer. Anal. Math. Modelling, 13 (1998), pp. 371-387.
10. Y. A. Kuznetsov and A. Matsokin, Partial solution of systems of linear algebraic equations, in Numerical methods in linear algebra (Proc. Third Sem. Methods of Numer. Appl. Math., Novosibirsk, 1978, Akad. Nauk SSSR Sibirsk. Otdel., pp. 62-89. Russian.
11. C. L. Nesbitt and J. L. Lopes, Subcritical detection of an elongated target buried under a rippled interface, in Proceedings of OCEANS '04, vol. 4, IEEE, 2004, pp. 1945-1952.
12. R.-E. Plessix and W. A. Mulder, Separation-of-variables as a preconditioner for an iterative Helmholtz solver, Appl. Numer. Math., 44 (2003), pp. 385-400.